Difference between revisions of "2018 AIME I Problems/Problem 4"
Bluebacon008 (talk | contribs) (→Solution 1) |
Bluebacon008 (talk | contribs) (→Solution 1) |
||
Line 10: | Line 10: | ||
dotfactor=3; | dotfactor=3; | ||
− | pair B = (0,0), A = (6,8), C = (12,0), D = (2.154,2.872), E = (8.153, 5.128); | + | pair B = (0,0), A = (6,8), C = (12,0), D = (2.154,2.872), E = (8.153, 5.128), F=(7.68,5.76); |
− | pair[] dotted = {A,B,C,D,E}; | + | pair[] dotted = {A,B,C,D,E,F}; |
D(A--B); | D(A--B); | ||
D(C--B); | D(C--B); | ||
D(A--C); | D(A--C); | ||
+ | D(D--E); | ||
pathpen=dashed; | pathpen=dashed; | ||
− | D( | + | D(B--F) |
dot(dotted); | dot(dotted); |
Revision as of 18:59, 7 March 2018
Problem 4
In and
. Point
lies strictly between
and
on
and point
lies strictly between
and
on
) so that
. Then
can be expressed in the form
, where
and
are relatively prime positive integers. Find
.
Solution 1
import cse5; unitsize(10mm); pathpen=black; dotfactor=3; pair B = (0,0), A = (6,8), C = (12,0), D = (2.154,2.872), E = (8.153, 5.128), F=(7.68,5.76); pair[] dotted = {A,B,C,D,E,F}; D(A--B); D(C--B); D(A--C); D(D--E); pathpen=dashed; D(B--F) dot(dotted); label("$A$",A,N); label("$B$",B,SW); label("$C$",C,SE); label("$D$",D,NW); label("$E$",E,NE); (Error making remote request. Unknown error_msg)